Hampton Inn does not list publicly the exact brand of coffee that they serve and it may vary by location.
American Coffee Services supplies coffee to a number of Hampton Inns and their offerings include coffee pods by Baronet and Melitta, as well as coffee packets by Starbucks, Peet's, Seattle's Best, Caribou Coffee, New England Coffee, Folger's, Maxwell House and more.
To find out for certain, call Hampton Inn's Guest Assistance line at 1-800-HAMPTON (1-800-426-7866). All Hampton Inns feature free coffee around the clock, as well as free wi-fi in the lobby, free local calls, a free in-room movie channel, and free copies of USA Today. Hampton Inns are members of the Hilton family of hotels, and all stays at a Hampton Inn come with a 100% guarantee of satisfaction.